Interests: Harmonic Analysis (Maximal
functions, Sobolev spaces/inequalities, extremals) and
combinatorial aspects of analysis (Marriage thm, rearrangements
of functions). You can read my intro to maximal
functions here, and maybe play around with a simple applet (though it seems
broken). More
recently, I've been studying PDE's, unique continuation, level
curves of harmonic functions, and discrete inequalities with L De
Carli. Also, solutions of Schrodinger equations with DeCarli,
Edward, Leckband and X.Li. Pdfs of the papers with De Carli are
available from her web site and others are available upon
request.